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Braess's paradox in a queueing network with state-dependent routing
12 references·10 citing·36 second hop
Braess's paradox in a queueing network with state-dependent routing (1997)Braess's paradox in a queueing network wi…Braess's paradox in a loss network (1997)Braess's paradox in a loss ne…Dynamic Scheduling of a Four-Station Queueing Network (1990)Dynamic Scheduling of a Four-…A paradox of congestion in a queuing network (1990)A paradox of congestion in a …Simulating computer systems: techniques and tools (1989)Simulating computer systems: …Deciding which queue to join: Some counterexamples (1986)Deciding which queue to join:…Deciding Which Queue to Join: Some Counterexamples (1986)Deciding Which Queue to Join:…The shortest queue problem (1985)The shortest queue problemIndividual versus Social Optimization in the Allocation of Customers to Alternative Servers (1983)Individual versus Social Opti…On the optimal assignment of customers to parallel servers (1978)On the optimal assignment of …Optimality of the shortest line discipline (1977)Optimality of the shortest li…Two Similar Queues in Parallel (1961)Two Similar Queues in ParallelOn the Stochastic Matrices Associated with Certain Queuing Processes (1953)On the Stochastic Matrices As…Bibliometric analysis and systematic literature review of the traffic paradoxes (1968–2022) (2023)Bibliometric analysis and sys…Inefficiency in stochastic queueing systems with strategic customers (2021)Inefficiency in stochastic qu…Locating inefficient links in a large-scale transportation network (2014)Locating inefficient links in…Optimal Routing in Closed Queueing Networks with State Dependent Queues (2011)Optimal Routing in Closed Que…User equilibria for a parallel queueing system with state dependent routing (2010)User equilibria for a paralle…Properties of equilibria in competitive routing with several user types (2004)Properties of equilibria in c…Avoiding paradoxes in multi-agent competitive routing (2003)Avoiding paradoxes in multi-a…Avoiding paradoxes in routing games (2001)Avoiding paradoxes in routing…Braess-like paradoxes in distributed computer systems (2000)Braess-like paradoxes in dist…The Downs-Thomson Effect in a Markov Process (1997)The Downs-Thomson Effect in a…Applying a New Device in the Optimization of Exponential Queuing Systems (1975)A simple dynamic routing problem (1980)Control Techniques for Complex Networks (2007)Über ein Paradoxon aus der Verkehrsplanung (1968)The Prevalence of Braess' Paradox (1983)Inefficiency of Nash Equilibria (1986)Capacity allocation under noncooperative routing (1997)Positive value of information in games (2003)Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain (1953)On Queueing Processes with Bulk Service (1954)Queueing Models for Computer Communications System Analysis (1977)Threshold models in time series analysis — 30 years on (2011)Mathematical Theory of Connecting Networks and Telephone Traffic (1966)Optimal control of admission to a quenching system (1985)A survey of Markov decision models for control of networks of queues (1993)Networks of infinite-server queues with nonstationary Poisson input (1993)Queueing theory in manufacturing: A survey (1999)Optimal Operating Policies for M / G /1 Queuing Systems (1968)The Regulation of Queue Size by Levying Tolls (1969)The Traffic Assignment Problem for Multiclass-User Transportation Networks (1972)Optimal Service Speeds in a Competitive Environment (1992)Pricing and Capacity Decisions for a Service Facility: Stability and Multiple Local Optima (1992)Obtaining Fast Service in a Queueing System via Performance-Based Allocation of Demand (2007)Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)A review of open queueing network models of manufacturing systems (1992)Heavy Traffic Convergence of a Controlled, Multiclass Queueing System (1996)Stability and Asymptotic Optimality of Generalized MaxWeight Policies (2009)Optimal control of two interacting service stations (1984)Optimal control of service rates in networks of queues (1987)A Basic Dynamic Routing Problem and Diffusion (1978)Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling (1993)Analysis of join-the-shortest-queue routing for web server farms (2007)SimPack (1992)Multi-server preemptive priority queue with general arrivals and service times (2017)First-come-first-served queues with multiple servers and customer classes (2018)Joining Longer Queues: Information Externalities in Queue Choice (2008)
this work references cited by second hop

References

  • 1977Optimality of the shortest line discipline495 cited
  • 1953On the Stochastic Matrices Associated with Certain Queuing Processes431 cited
  • 1989Simulating computer systems: techniques and tools420 cited
  • 1978On the optimal assignment of customers to parallel servers337 cited
  • 1986Deciding Which Queue to Join: Some Counterexamples235 cited
  • 1961Two Similar Queues in Parallel219 cited
  • 1986Deciding which queue to join: Some counterexamples189 cited
  • 1983Individual versus Social Optimization in the Allocation of Customers to Alternative Servers164 cited
  • 1990A paradox of congestion in a queuing network162 cited
  • 1990Dynamic Scheduling of a Four-Station Queueing Network91 cited
  • 1985The shortest queue problem83 cited
  • 1997Braess's paradox in a loss network70 cited

Cited by

  • 2000Braess-like paradoxes in distributed computer systems72 cited
  • 1997The Downs-Thomson Effect in a Markov Process27 cited
  • 2021Inefficiency in stochastic queueing systems with strategic customers23 cited
  • 2010User equilibria for a parallel queueing system with state dependent routing

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18 cited
  • 2003Avoiding paradoxes in multi-agent competitive routing17 cited
  • 2014Locating inefficient links in a large-scale transportation network15 cited
  • 2011Optimal Routing in Closed Queueing Networks with State Dependent Queues15 cited
  • 2023Bibliometric analysis and systematic literature review of the traffic paradoxes (1968–2022)9 cited
  • 2001Avoiding paradoxes in routing games9 cited
  • 2004Properties of equilibria in competitive routing with several user types7 cited